Theorems · Definition · category theory
CategoryTheory.Bicategory.Prod.swap
(B : Type u₁) →
[inst : CategoryTheory.Bicategory B] →
(C : Type u₂) → [inst_1 : CategoryTheory.Bicategory C] → CategoryTheory.StrictPseudofunctor (B × C) (C × B)The pseudofunctor swapping the factors of a cartesian product of bicategories,
B × C ⥤ C × B.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Prod.mkHomproof · cited by 108
- CategoryTheory.StrictPseudofunctorstatement · cited by 18
- CategoryTheory.StrictPseudofunctor.mk'proof · cited by 5
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Prod.swap_mapComp_homstatement and proof · cited by 0
- CategoryTheory.Bicategory.Prod.swap_mapComp_invstatement and proof · cited by 0
- CategoryTheory.Bicategory.Prod.swap_mapId_homstatement and proof · cited by 0
- CategoryTheory.Bicategory.Prod.swap_mapId_invstatement and proof · cited by 0
- CategoryTheory.Bicategory.Prod.swap_map₂statement and proof · cited by 0
- CategoryTheory.Bicategory.Prod.swap_objstatement and proof · cited by 0
- CategoryTheory.Bicategory.Prod.swap_mapstatement and proof · cited by 0